Composite functions are defined as one function defined inside another function. Like ff(x)) or f(g(x)) etc. Another function composition is an operation that takes two functions f and g and produces a function h such that h(x) = g(f(x)) Composite function
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Category: IB Maths HL
Inverse of Function
Inverse of functions are an important concept . Domain values and Range values gets interchange . Due to these values of functions, continuity of function also change. Graph of inverse function also change and become y-axis oriented. Therefore graph of inverse is reflection of function graph about y = x. Inverse of function
Completing Square
Completing the Square is to solve a quadratic equation by changing the form of the equation so that the left side is a perfect square trinomial. Completing the square is a technique for converting a quadratic polynomial of the form ax2 + bx + c to a(x-b)2+c. Hence this method is used to convert. Similarly […]
Permutation combination practice
Combination and permutation are a very important topic of mathematics as well as the quantitative aptitude section. In permutation we arrange object while in combination we select items. Combinations and permutations
Logarithmic and exponential Function
The logarithmic function y = logax is defined to be equivalent to the exponential equation x = ay. y = logax only under the following conditions: x = ay, a > 0, and a≠1. Logarithmic functions are the inverses of exponential functions. The inverse of the exponential function y = ax is x = ay. […]
Exponential Equation
Exponential equations are one in which a variable occurs in the exponent, for example, . When both sides of the equation have the same base, the exponents on either side are equal by the property Exponential Equation
Properties of logarithm
Properties of logarithms are use to evaluate or rewrite logarithmic expressions. Product Rule : ln x+ ln y = ln xy Quotient Rule : ln x – ln y = ln xy Power Rule : ln yx = x ln y Properties of logarithm
Exponent and Logarithm inverses
The inverse of the exponential function y = ax is x = ay. The logarithmic function y = logax is defined to be equivalent to the exponential equation x = ay. y = logax only under the following conditions: x = ay, a > 0, and a≠1. It is called the logarithmic function with base […]
Combinations And Permutations
Combinations is a very important topic of mathematics as well as the quantitative aptitude section. In permutation we arrange object while in combination we select items. Combination and permutation
Binomial theorem
The expansion of two terms is know as Binomial theorems . Another way it is generalised form of expansion. Due to expansion of two term it is binomial. “What are the binomial coefficients?” . It shows how to calculate the coefficients in the expansion of (a + b) n. The symbol for a binomial coefficient nCr. As well as […]
